with some \(\alpha \in (0,1)\) , it is well known [1]}
that these smoothness properties can only be expected to be present in rare and exceptional situations.
If the function is less smooth then the convergence order of Lemma REF  and Theorem
REF  cannot be achieved. This expectation has been confirmed by the observations from the
numerical experiments in [2]} for this particular algorithm and in [3]} for a
different algorithm based on the same fundamental principle (i.e. on diffusive representations).
